Darondeau-Pragacz formulas in complex cobordism
Abstract
In this paper, we generalize the push-forward (Gysin) formulas for flag bundles in the ordinary cohomology theory, which are due to Darondeau-Pragacz, to the complex cobordism theory. Then we introduce the {\it universal quadratic Schur functions}, which are a generalization of the (ordinary) quadratic Schur functions introduced by Darondeau-Pragacz, and establish some Gysin formulas for the universal quadratic Schur functions as an application of our Gysin formulas.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2019
- DOI:
- 10.48550/arXiv.1910.03649
- arXiv:
- arXiv:1910.03649
- Bibcode:
- 2019arXiv191003649N
- Keywords:
-
- Mathematics - Algebraic Topology;
- 05E05;
- 14M15;
- 14N15;
- 55N20;
- 55N22;
- 57R77
- E-Print:
- 22 pages. arXiv admin note: text overlap with arXiv:1705.04791